For two vertical angles with measures M angle two equals 5X +23° and M angle four equals 3X +35 what is the measure of each angle would it be 29° 15.3° 53° or 6°
To find the measure of the vertical angles, we need to set the two given expressions equal to each other since vertical angles are congruent.
5X + 23 = 3X + 35
We can solve for X by subtracting 3X from both sides of the equation:
5X - 3X + 23 = 3X - 3X + 35
2X + 23 = 35
Next, subtract 23 from both sides:
2X + 23 - 23 = 35 - 23
2X = 12
Finally, divide both sides by 2 to solve for X:
2X/2 = 12/2
X = 6
Now that we have the value of X, we can determine the measure of each angle by plugging it back into the given expressions:
M angle two = 5X + 23 = 5(6) + 23 = 30 + 23 = 53°
M angle four = 3X + 35 = 3(6) + 35 = 18 + 35 = 53°
Therefore, the measure of each angle is 53°.